1. The compound interest on ₹8,000 for 1 year at 10% per annum, compounded half-yearly, is:
2. Find the smallest five-digit number that is divisible by 12, 15, and 18.
3. The average of 8 consecutive even numbers is 24. What is the smallest of these numbers?
4. What is the sum of all odd numbers between 1 and 50?
5. Find the average of 15, 25, 35, 45, and 55.
6. What is the cube root of 512?
7. A rectangular prism has dimensions 3 cm by 4 cm by 5 cm. What is the volume of the rectangular prism?
8. What is the smallest number that is divisible by 3, 4, and 5?
9. What is the area of a triangle with base 10 cm and height 6 cm?
10. If log3(x+1)=2\log_3 (x + 1) = 2log3(x+1)=2, then the value of xxx is:
11. In a race of 500 meters, A can beat B by 50 meters. If A runs at a speed of 10 meters per second, what is B’s speed?
12. A three-digit number is such that the sum of its digits is 15. If the hundreds digit is twice the units digit and the tens digit is equal to the units digit plus 2, what is the number?
13. What is the value of log749\log_7 49log749?
14. The average of three numbers is 27. If one of the numbers is 30 and the other is 25, what is the third number?
15. What is the cube root of 729?
16. What is the maximum allowable deflection in a beam as per IS 456:2000 for spans up to 10 m?
17. Which of the following materials is used to improve the ductility of concrete?
18. The plasticity index of a soil is the difference between:
19. The purpose of a footing is to:
20. What is the maximum shear force in a simply supported beam subjected to a point load at the center?
21. The Bernoulli’s equation is based on the principle of:
22. The "pH" of water is important because it affects:
23. In torsion, the angle of twist is directly proportional to:
24. The moment of inertia of a rectangular section about its centroidal axis is given by:
25. The purpose of providing reinforcement in concrete is to:
26. The primary objective of traffic engineering is to:
27. A material fails without significant deformation. It is termed as:
28. Which of the following is the most common type of irrigation system used in agriculture?
29. The design speed of a road is:
30. The consolidation of clayey soils is primarily due to:
